Symmetry conditions in terms of open sets

DOI10.1016/0166-8641(92)90060-DzbMath0766.54025MaRDI QIDQ1193419

Worthen Hunsaker, Peter Fletcher

Publication date: 27 September 1992

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

quasi-uniformityproximitysemi-symmetryquasi-proximitySmyth symmetryopen symmetryquietnesstotally bounded quasi-uniform spacesuniformly regular equinormal quasi-uniform space

Mathematics Subject Classification ID

Pathological topological spaces (54G15) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)

Related Items (12)

Frame quasi-uniformities ⋮ Hausdorff completions of quasi-uniform spaces ⋮ Nonstandard methods of completing quasi-uniform spaces ⋮ Short notes on quasi-uniform spaces. I: Uniform local symmetry ⋮ Short notes on quasi-uniform spaces. IV: Cauchy type properties ⋮ Bibliography on bitopological spaces. III ⋮ Completeness of hyperspaces of compact subsets of quasi-metric spaces ⋮ Completeness in quasi-uniform spaces ⋮ Entourage uniformities for frames ⋮ Quasi-uniform hyperspaces of compact subsets ⋮ The relationship between the Vietoris topology and the Hausdorff quasi-uniformity ⋮ Compactifications of quasi-uniform hyperspaces.

Cites Work

• A concept of completeness of quasi-uniform spaces
• Uniformly regular quasi-uniformities
• On completeness in quasi-metric spaces
• Entourage uniformities for frames
• Completeness using pairs of filters
• C-complete quasi-uniform spaces
• Construction of quasi-uniformities
• Extensions of quasi-uniformities
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